46419194880 has 880 divisors, whose sum is σ = 180474655680. Its totient is φ = 11370627072.

The previous prime is 46419194879. The next prime is 46419194957. The reversal of 46419194880 is 8849191464.

It is a happy number.

46419194880 is a `hidden beast` number, since 464 + 1 + 91 + 94 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 338826172 + ... + 338826308.

It is an arithmetic number, because the mean of its divisors is an integer number (205084836).

Almost surely, 2^46419194880 is an apocalyptic number.

46419194880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46419194880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90237327840).

46419194880 is an abundant number, since it is smaller than the sum of its proper divisors (134055460800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46419194880 is a wasteful number, since it uses less digits than its factorization.

46419194880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 46419194880 in words is "forty-six billion, four hundred nineteen million, one hundred ninety-four thousand, eight hundred eighty".